real number

Not imaginary, mathematically

A real number is any number that can be placed on a continuous number line, including whole numbers, fractions, and irrational numbers like pi.

The term distinguishes these from imaginary numbers, which involve the square root of negative one.

In everyday contexts, virtually any number you encounter is a real number; the distinction matters mainly in advanced mathematics where complex numbers come into play.

continuum

continuous

Without pause or gap

interval · bounded · unbounded · completeness · limit · convergence · neighborhood · open · closed · continuum hypothesis

decimal

decimal point

Fractional value separator

rounding · precision · significant figures · tenths · hundredths · thousandths · notation · fixed-point · floating-point · truncation

rational

fraction

Part divided by whole

  • ratioComparative numerical relation
  • integerNumber lacking fractions
  • quotientDivision's numerical result

numerator · denominator · repeating decimal · proper fraction · improper fraction · reducible · common denominator · reciprocal

irrational

pi

Circle's fundamental ratio

nonrepeating · surd · incommensurable · cube root · nth root

measurement

quantity

Measurable amount present

precision · accuracy · approximation · error · tolerance · calibration · significant digits · estimation · coordinate · distance

Categories
Opposites
mathematical number classification

real numberimaginary number

Multiple of i

complex number · quaternion · complex plane

mathematical abstraction level

real numberinteger

Number lacking fractions

natural number · whole number · rational number · irrational number · infinitesimal

mathematical abstraction vs. concreteness

real numberimaginary number

Multiple of i

cardinal number · ordinal number

Family

real, number, realize, reality, unreal, realized, realization, realizing, realness

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